Answer:
2/3
Step-by-step explanation:
The slope of a line can be computed as:
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
where
[tex]\Delta y = y_2-y_1[/tex] is the increment along the y-direction
[tex]\Delta x = x_2 - x_1[/tex] is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(0,1) and (3,3)
Therefore, the slope of the line is
[tex]m=\frac{3-1}{3-0}=\frac{2}{3}[/tex]
Two lines are said to be parallel if they have same slope: therefore, a line parallel to the one shown should also have slope of 2/3.
